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How many four-digit numbers N = abcd satisfy all of the following conditions?

1. 4000 <= N < 6000

2. N is a multiple of 5.

3. N is a multiple of 11.

 May 29, 2022
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I assume that by N=abcd, you mean that the 4 digits must be distinct (no repetitions allowed).

 

4015 , 4125 , 4180 , 4235 , 4290 , 4510 , 4620 , 4675 , 4730 , 4785 , 4895 , 4950 , 5170 , 5280 , 5390 , 5610 , 5720 , 5830 , 5940 , Total =  19 such 4-digit integers.

 May 29, 2022

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